Publication: Integrals and iterated integrals and Borwein-Chen-Dilcher polynomials
dc.affiliation.dpto | UC3M. Departamento de Matemáticas | es |
dc.affiliation.grupoinv | UC3M. Grupo de Investigación: Análisis Aplicado | es |
dc.contributor.author | Bello Hernández, Manuel | |
dc.contributor.author | Pijeira Cabrera, Héctor Esteban | |
dc.contributor.author | Rivero Castillo, Daniel Alberto | |
dc.contributor.funder | Ministerio de Economía y Competitividad (España) | es |
dc.contributor.funder | Ministerio de Ciencia e Innovación (España) | es |
dc.date.accessioned | 2022-01-25T13:02:45Z | |
dc.date.available | 2022-01-25T13:02:45Z | |
dc.date.issued | 2020-10 | |
dc.description.abstract | We study the zero location and the asymptotic behavior of iterated integrals of polynomials. Borwein–Chen–Dilcher’s polynomials play an important role in this issue. For these polynomials we find their strong asymptotics and give the limit measure of their zero distribution. We apply these results to describe the zero asymptotic distribution of iterated integrals of ultraspherical polynomials with parameters (2α+1)/2, α∈Z+. | en |
dc.description.sponsorship | Research partially supported by Ministry of Economy and Competitiveness of Spain, under Grant MTM2014-54043-P. Héctor Pijeira-Cabrera: Research partially supported by Ministry of Science, Innovation and Universities of Spain, under Grant PGC2018-096504-B-C33. | en |
dc.format.extent | 19 | |
dc.identifier.bibliographicCitation | Bello-Hernández, M., Pijeira-Cabrera, H., & Rivero-Castillo, D. (2020). Iterated Integrals and Borwein–Chen–Dilcher Polynomials. Mediterranean Journal of Mathematics, 17(5), 148. | en |
dc.identifier.doi | https://doi.org/10.1007/s00009-020-01571-x | |
dc.identifier.issn | 1660-5446 | |
dc.identifier.publicationfirstpage | 1 | |
dc.identifier.publicationissue | 5 | |
dc.identifier.publicationlastpage | 19 | |
dc.identifier.publicationtitle | Mediterranean Journal of Mathematics | en |
dc.identifier.publicationvolume | 17 | |
dc.identifier.uri | https://hdl.handle.net/10016/33957 | |
dc.identifier.uxxi | AR/0000027590 | |
dc.language.iso | eng | en |
dc.publisher | Springer Nature | en |
dc.relation.projectID | Gobierno de España. PGC2018-096504-B-C33 | es |
dc.relation.projectID | Gobierno de España. MTM2014-54043-P | es |
dc.rights | © Springer Nature Switzerland AG 2020. | en |
dc.rights.accessRights | open access | en |
dc.subject.eciencia | Matemáticas | es |
dc.subject.other | Asymptotic behaviour | en |
dc.subject.other | Iterated integrals | en |
dc.subject.other | Orthogonal polynomials | en |
dc.subject.other | Zeros of polynomials | en |
dc.title | Integrals and iterated integrals and Borwein-Chen-Dilcher polynomials | en |
dc.type | research article | * |
dc.type.hasVersion | AM | * |
dspace.entity.type | Publication |
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